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IAT IISER2024MathematicsFunctions

Let f: R R be a strictly decreasing function with |f(t)| / 2 for all t R . Let g:[0, ] R be a function defined by g(t)= (f(t)) . Which one of the following statements is Correct?

Options

  1. Ag is decreasing on (0, / 2) and increasing on ( / 2, ) .
  2. Bg is increasing on [0, ] .
  3. Cg is decreasing on [0, ] .
  4. Dg is increasing on (0, / 2) and decreasing on ( / 2, ) .

Correct answer

C. g is decreasing on [0, ] .

Step-by-step solution

No solution available.

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